Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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Página 20
... interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles . Let the straight line EF fall upon the parallel straight lines AB , CD ; the alternate angles AGH ...
... interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles . Let the straight line EF fall upon the parallel straight lines AB , CD ; the alternate angles AGH ...
Página 21
... interior angles on the same side ; AGH , GEC , have the same name ; AGH , GHD , are called alternate interior angles , or simply alternate ; so also , are BGH , GHC : and lastly , EGB , GHD , or EGA , GHC , are called , respectively ...
... interior angles on the same side ; AGH , GEC , have the same name ; AGH , GHD , are called alternate interior angles , or simply alternate ; so also , are BGH , GHC : and lastly , EGB , GHD , or EGA , GHC , are called , respectively ...
Página 22
... interior and opposite angles ; and the three interior angles of every trian- gle are equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior ...
... interior and opposite angles ; and the three interior angles of every trian- gle are equal to two right angles . Let ABC be a triangle , and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior ...
Página 23
... interior and opposite angle ABC , but the angle ACE was shewn to be equal to the angle BAC ; therefore the whole ex- terior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these angles add the angle ACB , and ...
... interior and opposite angle ABC , but the angle ACE was shewn to be equal to the angle BAC ; therefore the whole ex- terior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these angles add the angle ACB , and ...
Página 24
... interior an- gle ABC , with its adjacent exterior ABD , is equal ( 6. 1. ) to two right angles ; there- fore all the interior , together with all the exterior angles of the figure , are equal to twice as many right angles as there are ...
... interior an- gle ABC , with its adjacent exterior ABD , is equal ( 6. 1. ) to two right angles ; there- fore all the interior , together with all the exterior angles of the figure , are equal to twice as many right angles as there are ...
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Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore